What is the Greatest Common Factor of 62218 and 62236?

Greatest common factor (GCF) of 62218 and 62236 is 2.

GCF(62218,62236) = 2

We will now calculate the prime factors of 62218 and 62236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62218 and 62236.

How to find the GCF of 62218 and 62236?

We will first find the prime factorization of 62218 and 62236. After we will calculate the factors of 62218 and 62236 and find the biggest common factor number .

Step-1: Prime Factorization of 62218

Prime factors of 62218 are 2, 13, 2393. Prime factorization of 62218 in exponential form is:

62218 = 2¹ × 13¹ × 2393¹

Step-2: Prime Factorization of 62236

Prime factors of 62236 are 2, 15559. Prime factorization of 62236 in exponential form is:

62236 = 2² × 15559¹

Step-3: Factors of 62218

List of positive integer factors of 62218 that divides 62218 without a remainder.

1, 2, 13, 26, 2393, 4786, 31109

Step-4: Factors of 62236

List of positive integer factors of 62236 that divides 62218 without a remainder.

1, 2, 4, 15559, 31118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62218 and 62236. The biggest common factor number is the GCF number.
So the greatest common factor 62218 and 62236 is 2.

Also check out the Least Common Multiple of 62218 and 62236